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Electrical Circuits - Network/Transfer Function

  1. Sep 22, 2015 #1
    1. The problem statement, all variables and given/known data

    The Matricial Circuit of a certain circuit in time-domain is:

    [ -1 D+a] [v1(t)] = [es(s)]
    [D+2 -1] [v2(t)] [0 ]

    where a is constant >0.
    Find G1(s) = V1(s)/Es(s). Put your result in a relation of polinomials N(s)/D(s), with the D(s) monic polinomial

    2. Relevant equations


    3. The attempt at a solution

    So, i tried to Laplace transform the matrix and then resolve the matrix equation, find V1(s) and then put V1(s)/Es(s).
    But D(s) is not a polinomial in this case. Am I missing something?
    I think that there is a way to obtain D(s) but I'm not finding it. The book that I am using to study is Fundamental of Electrical Circuits 5th edition by Sadiku.

    Thanks, guys!
     
  2. jcsd
  3. Sep 22, 2015 #2
    Ok, so this is my matrix equation in original post:

    # \begin{pmatrix}
    -1 & D+a \\
    D+2 & -1
    \end{pmatrix}
    \quad
    \begin{pmatrix}
    v1(t)\\
    v2(t)
    \end{pmatrix}
    \quad
    =
    \begin{pmatrix}
    es(t)\\
    0
    \end{pmatrix}
     
  4. Sep 23, 2015 #3

    donpacino

    User Avatar
    Gold Member

    [ -1 D+a] [v1(t)] = [es(s)]
    [D+2 -1] [v2(t)] [0 ]

    is that supposed to be this?

    [ -1 D+a] [v1(t)] = [es(s)]
    [D+2 -1] [v2(t)]= [0 ]

    if that is the case you should be able to use matrix algebra to solve for v1/es
     
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